101133321120320 has 28 divisors (see below), whose sum is σ = 240823720918524. Its totient is φ = 40453328448000.

The previous prime is 101133321120301. The next prime is 101133321120323. The reversal of 101133321120320 is 23021123331101.

It can be written as a sum of positive squares in 2 ways, for example, as 50381831136256 + 50751489984064 = 7098016^2 + 7124008^2 .

It is not an unprimeable number, because it can be changed into a prime (101133321120323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158020813931 + ... + 158020814570.

Almost surely, 2^{101133321120320} is an apocalyptic number.

101133321120320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101133321120320 is an abundant number, since it is smaller than the sum of its proper divisors (139690399798204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101133321120320 is an equidigital number, since it uses as much as digits as its factorization.

101133321120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316041628518 (or 316041628508 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 101133321120320 its reverse (23021123331101), we get a palindrome (124154444451421).

The spelling of 101133321120320 in words is "one hundred one trillion, one hundred thirty-three billion, three hundred twenty-one million, one hundred twenty thousand, three hundred twenty".